Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 55Q
(a)
To determine
The sidereal period of a newly discovered asteroid. Given that the asteroid rotates in a circular orbit having a synodic period of
(b)
To determine
The distance from the Sun to a supposedly newly discovered asteroid, that moves in a circular orbit having a synodic period of
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Saturn has an angular size of 16”, and an observed Synodic Period of 1.035yrs. Saturn’s moon, Titan orbits the planet with an angular separation of 192”, with a period of 15.9days. From these observations we can determine Saturn’s mass.
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An object has recently been discovered orbiting the Sun. The following is known about this object. Images indicate it is about 800 km in diameter, appears to be covered in craters, and has a mostly spherical shape. The object was discovered at 42 AU from the Sun, which was found to be the perihelion of its orbit. The aphelion of its orbit was found to be 330 AU.
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Chapter 4 Solutions
Universe
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- Congratulations! You just derived a version of Kepler's Third Law for Mars! Using the mass of Mars in kilograms and converting the 4.5 hours to seconds, calculate the distance from the center of the planet. GM kg 4π² ]s)² 3 = And then determine the distance (in km) from the surface. r = rm + rs rs km = kmarrow_forwardSaturn has an orbital period of 29.6 years. Explain how to calculate the average distance from the saturn to the sunarrow_forwardIf the satellite was placed in an orbit three times farther away, about how long would it take to orbit the Earth once? Answer in days, rounding to one significant figure.days Mars rotates on its axis once every 1.02 days (almost the same as Earth does). (a) Find the distance from Mars at which a satellite would remain in one spot over the Martian surface. (Use 6.42 1023 kg for the mass of Mars.)m(b) Find the speed of the satellite.m/sarrow_forward
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